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Straight clocks

I have a regular analogue clock. One day I decide to record the clock for 24 hours starting from 12pm and record the times when the angle between the hour hand and the minute hand is exactly \(180^{\circ}\).

  1. How many times does this happen?
  2. At what times does this happen?

Note by Eamon Gupta
1 year, 6 months ago

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